# The perimeter of a triangle is 29 mm. The length of the first side is twice the length of the second side. The length of the third side is 5 more than the length of the second side. How do you find the side lengths of the triangle?

##### 1 Answer

#### Explanation:

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, it is given that the perimeter is 29mm. So for this case:

So solving for the length of the sides, we translate statements in the given into equation form.

**"The length of the 1st side is twice the length of the 2nd side"**

In order to solve this, we assign a random variable to either

so we know that:

but since we let

**"The length of the 3rd Side is 5 more than the length of the 2nd Side."**

Translating the statement above to equation form...

once again since we let

Knowing the values (in terms of

[Solution]

Using the computed value of

[Checking]